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Finding the Third Proportional to 3,410,766 and 7,337,664

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Solution

The third proportional to 3,410,766 and 7,337,664 is: 15,785,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410,766 : 7,337,664 = 7,337,664 : x
  2. Step 2: Convert to fraction form
    3,410,766/7,337,664 = 7,337,664/x
  3. Step 3: Cross multiply
    3,410,766x = 7,337,664 × 7,337,664
  4. Step 4: Simplify right side
    3,410,766x = 53,841,312,976,896
  5. Step 5: Solve for x
    x = 53,841,312,976,896/3,410,766
  6. Step 6: Final answer
    x = 15,785,695.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.